Compositional effects

Resolution effects on hydrodynamical...



Compositional effects

 

In this section I compare the effects of changing composition from the old Gustafsson mixture (X=70.2959%, Y=27.9161%), to the AG89 mixture and Z/X=0.0245 and Y=24.5%, by comparing the simulations sol50G and sol50.

There are two immediate effects of this change; The mean molecular weight, tex2html_wrap_inline725 , decrease and the opacity increase because of the smaller content of the opacity-wise inert helium.

Hydrostatic equilibrium

  equation157

results in an overall increase of the density by approximately the tex2html_wrap_inline725 -ratio,

   figure162
Figure 12: The turbulent- to total pressure ratio. Pink curves are for sol50 and black curves for sol50G. I show both the total horizontal average (solid) as well as the average in the upflow (dashed) and the downflow (dotted).

as the main part of the pressure

equation167

is proportional to tex2html_wrap_inline729 . Dividing Eq. 2 with P we see that this causes a decrease in the pressure scale height

equation174

which disappears with depth though, due to a rise in temperature. The first order effect is therefore a contraction of the atmosphere by the ratio of the tex2html_wrap_inline725 's for the two cases.

   figure179
Figure 13: The superadiabatic gradient tex2html_wrap_inline529 . Pink curves are for sol50 and black curves for sol50G. I show both the total horizontal average (solid) as well as the average in the upflow (dashed) and the downflow (dotted).

As the differences in composition also affects the ionization structure, i.e. the tex2html_wrap_inline725 ratio is not a constant but changes with depth, other effects enters too.

From Fig. 13 and 14 we see that both the super adiabatic gradient and the vertical velocities decrease, going from sol50G to sol50. The total flux is maintained at tex2html_wrap_inline739 K though, because of the larger density. The tex2html_wrap_inline529 -peak in the downflow is increased whereas the peak in the upflow and the total average is decreased This is possible because the fillingfactor increases from the tex2html_wrap_inline529 -peak in the upflow and downwards, with about 3%, effectively broadening the peak in the total average of tex2html_wrap_inline529 .

   figure191
Figure 14: The vertical RMS velocity tex2html_wrap_inline533 . Pink curves are for sol50 and black curves for sol50G. I show both the total horizontal average (solid) as well as the average in the upflow (dashed) and the downflow (dotted).

The horizontal velocities are in general smaller, but not by the same constant factor as is the case for the vertical velocities in the upflow, because of the changing fillingfactor.

   figure196
Figure 15: The horizontal RMS velocity tex2html_wrap_inline537 . Pink curves are for sol50 and black curves for sol50G. I show both the total horizontal average (solid) as well as the average in the upflow (dashed) and the downflow (dotted).



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